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Finding the Fourth Proportional to 5,606.88, 8,414.10 and 2,319.96

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Solution

The fourth proportional to 5,606.88, 8,414.10 and 2,319.96 is: 3,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.88 : 8,414.10 = 2,319.96 : x
  2. Step 2: Convert to fraction form
    5,606.88/8,414.10 = 2,319.96/x
  3. Step 3: Cross multiply
    5,606.88x = 8,414.10 × 2,319.96
  4. Step 4: Simplify right side
    5,606.88x = 19,520,375.44
  5. Step 5: Solve for x
    x = 19,520,375.44/5,606.88
  6. Step 6: Final answer
    x = 3,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.